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Finding the Fourth Proportional to 15,909.36, 23,827.70 and 7,595.23

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Solution

The fourth proportional to 15,909.36, 23,827.70 and 7,595.23 is: 11,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.36 : 23,827.70 = 7,595.23 : x
  2. Step 2: Convert to fraction form
    15,909.36/23,827.70 = 7,595.23/x
  3. Step 3: Cross multiply
    15,909.36x = 23,827.70 × 7,595.23
  4. Step 4: Simplify right side
    15,909.36x = 180,976,861.87
  5. Step 5: Solve for x
    x = 180,976,861.87/15,909.36
  6. Step 6: Final answer
    x = 11,375.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.